"Busy" status doesn't work

I was presenting something in a meeting with my desktop shared so I set my battle.net status to Busy thinking it would be alright. But throughout the presentation it kept popping up messages with people joining games and that was a bit awkward… the whole point of a busy status is that you shouldn’t get disturbed by anything from the app, isn’t it? Or am I crazy?

Busy status limits the ability to be invited by other players in some of the game titles. If you want to disable those pop-ups, you can do so through the Notifications area in the Settings menu.